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Finding the Fourth Proportional to 475.93, 655.86 and 463.78

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Solution

The fourth proportional to 475.93, 655.86 and 463.78 is: 639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.93 : 655.86 = 463.78 : x
  2. Step 2: Convert to fraction form
    475.93/655.86 = 463.78/x
  3. Step 3: Cross multiply
    475.93x = 655.86 × 463.78
  4. Step 4: Simplify right side
    475.93x = 304,174.75
  5. Step 5: Solve for x
    x = 304,174.75/475.93
  6. Step 6: Final answer
    x = 639.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.